SOLUTION: 4. Two numbers differ by 9 and 4/7 of the larger number is greater than ¾ of the smaller number by 3.Find the two numbers.

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Question 389566: 4. Two numbers differ by 9 and 4/7 of the larger number is greater than ¾ of the smaller number by 3.Find the two numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Two numbers differ by 9

Let x and (x+9) represent the smaller and larger respectively

Question States***

 4/7(x+9) = (3/4)x  + 3

solving for x

 16(x+9) = 21x +  84  Multiplying both sides of equation by 28

  144 + 16x = 21x + 84

     60 = 5x

      x = 12, the smaller number. Larger number is 21



CHECKING our Answer***

 4/7*21 = 12 = 3/4*12 + 3 = 9 + 3 = 12